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Finding the Fourth Proportional to 8,051.40, 12,101.40 and 6,982.20

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Solution

The fourth proportional to 8,051.40, 12,101.40 and 6,982.20 is: 10,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.40 : 12,101.40 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    8,051.40/12,101.40 = 6,982.20/x
  3. Step 3: Cross multiply
    8,051.40x = 12,101.40 × 6,982.20
  4. Step 4: Simplify right side
    8,051.40x = 84,494,395.08
  5. Step 5: Solve for x
    x = 84,494,395.08/8,051.40
  6. Step 6: Final answer
    x = 10,494.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.